US8500276B2ActiveUtilityA1

Non-reflective imaging optics for optical devices, particularly in opthalmology

38
Assignee: BUCHHEISTER JANPriority: Feb 17, 2010Filed: Feb 10, 2011Granted: Aug 6, 2013
Est. expiryFeb 17, 2030(~3.6 yrs left)· nominal 20-yr term from priority
G02B 13/18A61B 3/156G02B 13/24G02B 27/0018
38
PatentIndex Score
0
Cited by
12
References
8
Claims

Abstract

Imaging optics for optical devices, with which reflections of the illumination light, which is guided through the same optical elements as the observation light, are kept from reaching the observation pupil of the imaging beam path. The non-reflective imaging optics include at least two refractive optical elements, which are utilized for illumination as well as observation. The at least two refractive optical elements are designed approximately wedge-shaped and are tilted at a random azimuth angle of at least 5° and/or are positioned off-center in the beam path to block out the single reflections of the illumination, occurring at the optical system surfaces, for the observation. The imaging optics are for optical devices, particularly in ophthalmology thought the invention is applicable to other ophthalmological devices as well as to optical devices outside of this field.

Claims

exact text as granted — not AI-modified
The invention claimed is: 
     
       1. Non-reflective imaging optics for optical devices, in general and in ophthalmology,
 comprising at least two refractive optical elements including a first refractive optical element and a second refractive optical element, which are utilized for illumination as well as observation, wherein the at least two refractive optical elements are approximately wedge-shaped and are tilted at a random azimuth angle of at least 5° and/or are positioned off-center in the beam path to completely block out single reflections of the illumination, occurring at the optical system surfaces, for the observation; 
 wherein at least two optical system surfaces of the at least two refractive optical elements, are designed as free-form surfaces, while remaining optical system surfaces of the at least two refractive optical elements are aspherical, toric or spherical in form. 
 
     
     
       2. Non-reflective imaging optics, according to  claim 1 , wherein the optical system surfaces, designed as free-form surfaces, of the at least two refractive optical elements, which are designed approximately wedge-shaped and tilted in the beam path, are toric in form. 
     
     
       3. Non-reflective imaging optics, according to  claim 1 , wherein exactly two refractive optical elements are designed approximately wedge-shaped and are tilted at a random azimuth angle of at least 5° and/or are positioned off-center in the beam path to completely block out single reflections of the illumination, occurring at the optical system surfaces, for the observation. 
     
     
       4. Non-reflective imaging optics, according to  claim 1 , wherein anterior system surfaces of both refractive optical elements comprise free-form surfaces, a posterior system surface of the first refractive optical element is designed as torus, and a posterior system surface of the second refractive optical element is designed as sphere, and the overall design of the Non-reflective imaging optics is described as follows: 
       
         
           
                 
                 
                 
                 
                 
               
                     
                 
                   Surface 
                   Radius [mm] 
                   Thickness [mm] 
                   Glass 
                   Comment 
                 
                     
                 
                   SA = BQ 
                   0.000000 
                   127.023559 
                     
                     
                 
                   ZB 
                   0.000000 
                   33.434954 
                     
                     
                 
                   2 v   
                   460.241355 
                   40.000000 
                   N-LAK8 
                   XY polynomial 
                 
                   2 h   
                   −112.724233 
                   3.416369 
                     
                   Torus 
                 
                   3 v   
                   67.330573 
                   21.208847 
                   N-LAK8 
                   Sphere 
                 
                   3 h   
                   −553.072593 
                   49.259906 
                     
                   XY polynomial 
                 
                   P = IA 
                   0.000000 
                   17.000000Y 
                   Ideal lens 
                   f′ = 17 mm 
                 
                   R 
                   0.000000 
                 
                     
                 
                 
               
                   Position of the surfaces: 
                 
                   Translation of the coordinate systems: 
                 
                 
                 
                 
                 
               
                   Surface 
                   X [mm] 
                   Y [mm] 
                   Z [mm] 
                 
                     
                 
                   2 v   
                   −0.015804 
                   −0.009449 
                   0.000000 
                 
                   2 h   
                   −0.176313 
                   4.129852 
                   0.000000 
                 
                   3 v   
                   −1.160058 
                   9.969841 
                   0.000000 
                 
                   3 h   
                   0.397186 
                   4.114025 
                   0.000000 
                 
                   P = IA 
                   0.194216 
                   2.831227 
                   0.000000 
                 
                     
                 
                 
               
                   Rotation of the coordinate systems with regard to eye pupil (in air): 
                 
                 
                 
                 
                 
               
                   Surface 
                   Alpha [degree] 
                   Beta [degree] 
                   Gamma [degree] 
                 
                     
                 
                   2 v   
                   −9.715970 
                   −0.842779 
                   0.000000 
                 
                   2 h   
                   −14.376718 
                   16.307588 
                   0.000000 
                 
                   3 v   
                   −9.946335 
                   15.458494 
                   0.000000 
                 
                   3 h   
                   −11.913235 
                   2.391050 
                   0.000000 
                 
                   P = IA 
                   1.482621 
                   −0.261571 
                   −0.138182 
                 
                     
                 
                 
               
                   Description of the surface shapes of surfaces 2 v , 2 h , 3 h : 
                 
                     
                 
                   
                     
                       
                         
                           z 
                           = 
                           
                             
                               
                                 
                                   
                                     ρ 
                                     x 
                                   
                                   ⁢ 
                                   
                                     x 
                                     2 
                                   
                                 
                                 + 
                                 
                                   
                                     ρ 
                                     y 
                                   
                                   ⁢ 
                                   
                                     y 
                                     2 
                                   
                                 
                               
                               
                                 1 
                                 + 
                                 
                                   
                                     1 
                                     - 
                                     
                                       
                                         ( 
                                         
                                           1 
                                           + 
                                           
                                             κ 
                                             x 
                                           
                                         
                                         ) 
                                       
                                       ⁢ 
                                       
                                         ρ 
                                         x 
                                         2 
                                       
                                       ⁢ 
                                       
                                         x 
                                         2 
                                       
                                     
                                     - 
                                     
                                       
                                         ( 
                                         
                                           1 
                                           + 
                                           
                                             κ 
                                             y 
                                           
                                         
                                         ) 
                                       
                                       ⁢ 
                                       
                                         ρ 
                                         y 
                                         2 
                                       
                                       ⁢ 
                                       
                                         y 
                                         2 
                                       
                                     
                                   
                                 
                               
                             
                             + 
                             
                               
                                 c 
                                 1 
                               
                               · 
                               x 
                             
                             + 
                             
                               
                                 c 
                                 2 
                               
                               · 
                               y 
                             
                             + 
                             
                               
                                 c 
                                 3 
                               
                               · 
                               
                                 x 
                                 2 
                               
                             
                             + 
                             
                               
                                 c 
                                 4 
                               
                               · 
                               x 
                               · 
                               y 
                             
                             + 
                             
                               
                                 c 
                                 5 
                               
                               · 
                               
                                 y 
                                 2 
                               
                             
                             + 
                             
                               
                                 c 
                                 6 
                               
                               · 
                               
                                 x 
                                 3 
                               
                             
                             + 
                             
                               
                                 c 
                                 7 
                               
                               · 
                               
                                 x 
                                 2 
                               
                               · 
                               y 
                             
                             + 
                             
                               
                                 c 
                                 8 
                               
                               · 
                               x 
                               · 
                               
                                 y 
                                 2 
                               
                             
                             + 
                             
                               
                                 c 
                                 9 
                               
                               · 
                               
                                 y 
                                 3 
                               
                             
                             + 
                             
                               
                                 c 
                                 10 
                               
                               · 
                               
                                 x 
                                 4 
                               
                             
                             + 
                             
                               
                                 c 
                                 11 
                               
                               · 
                               
                                 x 
                                 3 
                               
                               · 
                               y 
                             
                             + 
                             … 
                           
                         
                       
                     
                   
                 
                     
                 
                   Surface 2 v : 
                 
                 
                 
                 
                 
               
                         K x  = 
                   0.000000000E+00 
                         K y  = 
                   0.000000000E+00 
                 
                   1/ρ x  = 
                   262.029626 
                   1/ρ y  = 
                   460.241355 
                 
                   c 1-3   
                   −8.16682913E−02 
                     1.30744652E−02 
                     3.41935416E−03 
                 
                   c 4-6   
                   −7.06926443E−04 
                     2.79954523E−03 
                   −7.24668714E−05 
                 
                   c 7-9   
                   −7.13866226E−05 
                   −8.22329726E−05 
                   −7.79315372E−05 
                 
                   c 10-12   
                   −3.21596886E−07 
                     1.76630879E−07 
                   −5.03015616E−07 
                 
                   c 13-15   
                   −2.78639559E−07 
                   −1.02664121E−06 
                     8.17043798E−09 
                 
                   c 16-18   
                     1.47741005E−08 
                     2.45319524E−08 
                   −6.39279788E−09 
                 
                   c 19-21   
                     7.16686190E−09 
                   −2.93771547E−09 
                     2.40054911E−11 
                 
                   c 22-24   
                     3.80865136E−12 
                     3.12139213E−10 
                   −2.66011419E−10 
                 
                   c 25-27   
                   −2.10800584E−10 
                     8.11033757E−11 
                     1.06969528E−11 
                 
                 
               
                   Surface 2 h : 
                 
                 
                 
                 
                 
               
                         K x  = 
                   0.000000000E+00 
                         K y  = 
                   0.000000000E+00 
                 
                   1/ρ x  = 
                   −192.389983 
                   1/ρ y  = 
                   −112.724233 
                 
                   c 1-27   
                   0.000000000E−00 
                     
                     
                 
                 
               
                   Surface 3 h : 
                 
                 
                 
                 
                 
               
                         K x  = 
                   0.000000000E+00 
                         K y  = 
                   0.000000000E+00 
                 
                   1/ρ x  = 
                   −626.781667 
                   1/ρ y  = 
                   −553.072593 
                 
                   c 1-3   
                     1.46571567E−02 
                   −4.19559905E−02 
                     2.47038454E−03 
                 
                   c 4-6   
                     1.30391601E−03 
                     4.05033404E−03 
                   −1.10654287E−04 
                 
                   c 7-9   
                   −1.18192140E−04 
                   −1.08606641E−04 
                   −1.01909142E−04 
                 
                   c 10-12   
                   −9.70012347E−07 
                     5.68458154E−07 
                     3.06807937E−06 
                 
                   c 13-15   
                   −1.85585147E−07 
                     5.49978310E−07 
                     1.31161920E−08 
                 
                   c 16-18   
                     2.50938306E−08 
                     2.12181386E−08 
                   −4.80230112E−08 
                 
                   c 19-21   
                   −4.51844849E−09 
                   −1.37209572E−08 
                   −2.41037488E−10 
                 
                   c 22-24   
                   −9.94991837E−11 
                   −1.48481266E−09 
                     3.35571849E−10 
                 
                   c 25-27   
                     5.06355656E−10 
                     7.62147783E−10 
                         3.68207235E−10. 
                 
                     
                 
             
                
               
               
                
                
                
                
                
                
                
                
                
                
                
               
            
             
                
                
               
            
             
                
                
                
                
                
                
                
                
               
            
             
                
               
            
             
                
                
                
                
                
                
                
                
               
            
             
                
                
                
                
                
               
            
             
                
                
                
                
                
                
                
                
                
                
                
               
            
             
                
               
            
             
                
                
                
               
            
             
                
               
            
             
                
                
                
                
                
                
                
                
                
                
                
                
               
            
           
         
       
     
     
       5. Non-reflective imaging optics, according to  claim 1 , wherein an anterior and a posterior system surface of the first refractive optical element, and the posterior system surface of the second refractive optical element comprise a free-form surface, and an anterior system surface of the second refractive optical element comprises an asphere and the overall design of Non-reflective imaging optics is described as follows: 
       
         
           
                 
                 
                 
                 
                 
               
                     
                 
                   Surface 
                   Radius [mm] 
                   Thickness [mm] 
                   Glass 
                   Comment 
                 
                     
                 
                   SA = BQ 
                   0.000000 
                   112.723657 
                     
                     
                 
                   ZB 
                   0.000000 
                   26.315884 
                     
                     
                 
                   2 v   
                   460.241355 
                   40.000000 
                   N-LAK8 
                   XY polynomial 
                 
                   2 h   
                   −98.378083 
                   2.432516 
                     
                   XY polynomial 
                 
                   3 v   
                   69.369038 
                   18.428907 
                   N-LAK8 
                   Asphere 
                 
                   3 h   
                   −553.072593 
                   45.324601 
                     
                   XY polynomial 
                 
                   P = IA 
                   0.000000 
                   17.000000Y 
                   Ideal lens 
                   f′ = 17 mm 
                 
                   R 
                   0.000000 
                 
                     
                 
                 
               
                   Position of the surfaces: 
                 
                   Translation of the coordinate systems: 
                 
                 
                 
                 
                 
               
                   Surface 
                   X [mm] 
                   Y [mm] 
                   Z [mm] 
                 
                     
                 
                   2 v   
                   −0.008249 
                   −0.004878 
                   0.000000 
                 
                   2 h   
                   −3.632256 
                   4.940808 
                   0.000000 
                 
                   3 v   
                   −7.513007 
                   12.906752 
                   0.000000 
                 
                   3 h   
                   −6.767967 
                   10.354774 
                   0.000000 
                 
                   P = IA 
                   −15.095604 
                   20.046330 
                   0.000000 
                 
                     
                 
                 
               
                   Rotation of the coordinate systems with regard to eye pupil (in air): 
                 
                 
                 
                 
                 
               
                   Surface 
                   Alpha [degree] 
                   Beta [degree] 
                   Gamma [degree] 
                 
                     
                 
                   2 v   
                   −16.627633 
                   −12.552204 
                   0.000000 
                 
                   2 h   
                   −2.975360 
                   9.652402 
                   0.000000 
                 
                   3 v   
                   −18.533878 
                   9.595629 
                   0.000000 
                 
                   3 h   
                   −17.902422 
                   1.472894 
                   0.000000 
                 
                   P = IA 
                   −12.055657 
                   −10.186383 
                   −1.343352 
                 
                     
                 
                 
               
                   
                     
                       
                         
                           z 
                           = 
                           
                             
                               
                                 
                                   
                                     ρ 
                                     x 
                                   
                                   ⁢ 
                                   
                                     x 
                                     2 
                                   
                                 
                                 + 
                                 
                                   
                                     ρ 
                                     y 
                                   
                                   ⁢ 
                                   
                                     y 
                                     2 
                                   
                                 
                               
                               
                                 1 
                                 + 
                                 
                                   
                                     1 
                                     - 
                                     
                                       
                                         ( 
                                         
                                           1 
                                           + 
                                           
                                             κ 
                                             x 
                                           
                                         
                                         ) 
                                       
                                       ⁢ 
                                       
                                         ρ 
                                         x 
                                         2 
                                       
                                       ⁢ 
                                       
                                         x 
                                         2 
                                       
                                     
                                     - 
                                     
                                       
                                         ( 
                                         
                                           1 
                                           + 
                                           
                                             κ 
                                             y 
                                           
                                         
                                         ) 
                                       
                                       ⁢ 
                                       
                                         ρ 
                                         y 
                                         2 
                                       
                                       ⁢ 
                                       
                                         y 
                                         2 
                                       
                                     
                                   
                                 
                               
                             
                             + 
                             
                               
                                 c 
                                 1 
                               
                               · 
                               x 
                             
                             + 
                             
                               
                                 c 
                                 2 
                               
                               · 
                               y 
                             
                             + 
                             
                               
                                 c 
                                 3 
                               
                               · 
                               
                                 x 
                                 2 
                               
                             
                             + 
                             
                               
                                 c 
                                 4 
                               
                               · 
                               x 
                               · 
                               y 
                             
                             + 
                             
                               
                                 c 
                                 5 
                               
                               · 
                               
                                 y 
                                 2 
                               
                             
                             + 
                             
                               
                                 c 
                                 6 
                               
                               · 
                               
                                 x 
                                 3 
                               
                             
                             + 
                             
                               
                                 c 
                                 7 
                               
                               · 
                               
                                 x 
                                 2 
                               
                               · 
                               y 
                             
                             + 
                             
                               
                                 c 
                                 8 
                               
                               · 
                               x 
                               · 
                               
                                 y 
                                 2 
                               
                             
                             + 
                             
                               
                                 c 
                                 9 
                               
                               · 
                               
                                 y 
                                 3 
                               
                             
                             + 
                             
                               
                                 c 
                                 10 
                               
                               · 
                               
                                 x 
                                 4 
                               
                             
                             + 
                             
                               
                                 c 
                                 11 
                               
                               · 
                               
                                 x 
                                 3 
                               
                               · 
                               y 
                             
                             + 
                             … 
                           
                         
                       
                     
                   
                 
                     
                 
                   Description of the surface shapes of surfaces 2 v , 2 h , 3 h : 
                 
                   Surface 2 v : 
                 
                 
                 
                 
                 
               
                         K x  = 
                     0.000000000E+00 
                         K y  = 
                     0.000000000E+00 
                 
                   1/ρ x  = 
                   262.029626 
                   1/ρ y  = 
                   460.241355 
                 
                   c 1-3   
                   −1.076219235E−02 
                   −1.939046941E−03 
                     1.997905625E−03 
                 
                   c 4-6   
                     1.746907059E−03 
                     2.461118134E−03 
                   −6.571983437E−05 
                 
                   c 7-9   
                   −9.883077652E−06 
                   −5.445029935E−05 
                   −1.632332880E−05 
                 
                   c 10-12   
                   −3.984223970E−07 
                     6.025247976E−07 
                   −3.447675743E−07 
                 
                   c 13-15   
                     6.588778570E−08 
                   −9.912377449E−07 
                     6.020462360E−09 
                 
                   c 16-18   
                   −1.953270172E−10 
                     7.786357428E−09 
                   −1.948376196E−09 
                 
                   c 19-21   
                     7.040827309E−09 
                   −8.579730212E−09 
                     1.890823354E−10 
                 
                   c 22-24   
                     1.545069767E−11 
                   −3.939617920E−11 
                   −1.872836301E−10 
                 
                   c 25-27   
                   −1.433811680E−10 
                   −3.180424756E−10 
                     5.075901345E−11 
                 
                 
               
                   Surface 2 h : 
                 
                 
                 
                 
                 
               
                         K x  = 
                     0.000000000E+00 
                         K y  = 
                     0.000000000E+00 
                 
                   1/ρ x  = 
                   −100.942861 
                   1/ρ y  = 
                   −98.378083 
                 
                   c 1-3   
                     5.282970718E−03 
                   −2.390734163E−02 
                     9.280180593E−04 
                 
                   c 4-6   
                     7.885552729E−04 
                   −1.715965007E−03 
                     2.046197629E−05 
                 
                   c 7-9   
                     1.927024556E−05 
                     8.531615103E−05 
                   −1.605061381E−05 
                 
                   c 10-12   
                     5.617458102E−07 
                     3.689124959E−07 
                     7.443694101E−07 
                 
                   c 13-15   
                   −5.994160512E−07 
                     2.282951119E−07 
                   −5.812076272E−09 
                 
                   c 16-18   
                   −1.723649589E−09 
                   −8.769239055E−09 
                   −9.773820261E−10 
                 
                   c 19-21   
                   −4.698271820E−09 
                   −1.704652063E−08 
                     1.317751719E−10 
                 
                   c 22-24   
                     2.089880410E−10 
                     3.761425386E−10 
                     1.878879381E−10 
                 
                   c 25-27   
                   −7.245340147E−11 
                   −9.975912395E−11 
                   −9.207989014E−11 
                 
                 
               
                   Surface 3 h : 
                 
                 
                 
                 
                 
               
                         K x  = 
                     0.000000000E+00 
                         K y  = 
                     0.000000000E+00 
                 
                   1/ρ x  = 
                   −626.781667 
                   1/ρ y  = 
                   −553.072593 
                 
                   c 1-3   
                     2.487303401E−02 
                   −6.337149712E−02 
                     5.842772050E−04 
                 
                   c 4-6   
                     3.650951912E−04 
                     3.800070084E−03 
                   −6.340939346E−05 
                 
                   c 7-9   
                   −4.948991848E−05 
                   −1.560159975E−04 
                   −2.586127402E−05 
                 
                   c 10-12   
                     9.681634924E−07 
                     9.072631039E−07 
                     1.675755763E−06 
                 
                   c 13-15   
                     9.789720502E−07 
                     5.079850594E−07 
                     9.057671419E−09 
                 
                   c 16-18   
                   −5.038663621E−09 
                   −6.726531096E−10 
                   −2.375679687E−08 
                 
                   c 19-21   
                   −3.868956663E−09 
                   −1.420798036 − 08 
                   −4.135849189E−10 
                 
                   c 22-24   
                   −7.758610476E−11 
                   −1.701714743E−09 
                   −1.760333486E−11 
                 
                   c 25-27   
                   −5.742161539E−10 
                   −1.914559861E−11 
                   −3.980153064E−10 
                 
                     
                 
                 
               
                   Description of the surface shape of surface 3 v : 
                 
                   
                     
                       
                         
                           z 
                           = 
                           
                             
                               
                                 ρ 
                                 ⁢ 
                                 
                                     
                                 
                                 ⁢ 
                                 
                                   h 
                                   2 
                                 
                               
                               
                                 1 
                                 + 
                                 
                                   
                                     1 
                                     - 
                                     
                                       
                                         ( 
                                         
                                           1 
                                           + 
                                           κ 
                                         
                                         ) 
                                       
                                       ⁢ 
                                       
                                         ρ 
                                         2 
                                       
                                       ⁢ 
                                       
                                         h 
                                         2 
                                       
                                     
                                   
                                 
                               
                             
                             + 
                             
                               
                                 ∑ 
                                 
                                   k 
                                   = 
                                   1 
                                 
                               
                               ⁢ 
                               
                                 
                                   c 
                                   k 
                                 
                                 ⁢ 
                                 
                                   h 
                                   
                                     
                                       2 
                                       ⁢ 
                                       
                                           
                                       
                                       ⁢ 
                                       k 
                                     
                                     + 
                                     2 
                                   
                                 
                               
                             
                           
                         
                       
                     
                   
                 
                     
                 
                 
                 
                 
                 
               
                         K = 
                     8.835330521E−02 
                     
                     
                 
                   1/ρ = 
                   69.369038 
                     
                     
                 
                   c1-3 
                     0.000000000E−00 
                     0.000000000E−00 
                         0.000000000E−00. 
                 
                     
                 
             
                
               
               
                
                
                
                
                
                
                
                
                
                
                
               
            
             
                
                
               
            
             
                
                
                
                
                
                
                
                
               
            
             
                
               
            
             
                
                
                
                
                
                
                
                
               
            
             
                
                
                
                
               
            
             
                
                
                
                
                
                
                
                
                
                
                
               
            
             
                
               
            
             
                
                
                
                
                
                
                
                
                
                
                
               
            
             
                
               
            
             
                
                
                
                
                
                
                
                
                
                
                
                
               
            
             
                
                
                
               
            
             
                
                
                
                
               
            
           
         
       
     
     
       6. Non-reflective imaging optics, according to  claim 1 , wherein an anterior and a posterior system surface of the first refractive optical element, and a posterior system surface of the second refractive optical element comprise free-form surfaces, and an anterior system surface of the second refractive optical element is designed as a sphere, and an overall design of the Non-reflective imaging optics is described as follows: 
       
         
           
                 
                 
                 
                 
                 
               
                     
                 
                   Surface 
                   Radius [mm] 
                   Thickness [mm] 
                   Glass 
                   Comment 
                 
                     
                 
                   SA = BQ 
                   0.000000 
                   123.394223 
                     
                     
                 
                   ZB 
                   0.000000 
                   36.178305 
                     
                     
                 
                   2 v   
                   460.241355 
                   39.210908 
                   N-LAK8 
                   XY polynomial 
                 
                   2 h   
                   −98.378083 
                   2.041868 
                     
                   XY polynomial 
                 
                   3 v   
                   69.665916 
                   17.941242 
                   N-LAK8 
                     
                 
                   3 h   
                   −553.072593 
                   50.945958 
                     
                   XY polynomial 
                 
                   P = IA 
                   0.000000 
                   17.000000Y 
                   Ideal lens 
                   f′ = 17 mm 
                 
                   R 
                   0.000000 
                 
                     
                 
                 
               
                   Position of the surfaces: 
                 
                   Translation of the coordinate systems: 
                 
                 
                 
                 
                 
               
                   Surface 
                   X [mm] 
                   Y [mm] 
                   Z [mm] 
                 
                     
                 
                   2 v   
                   −0.011617 
                   −0.016130 
                   0.000000 
                 
                   2 h   
                   0.974295 
                   3.470584 
                   0.000000 
                 
                   3 v   
                   −3.363366 
                   10.952433 
                   0.000000 
                 
                   3 h   
                   0.658348 
                   5.474388 
                   0.000000 
                 
                   P = IA 
                   −0.182751 
                   9.037957 
                   0.000000 
                 
                     
                 
                 
               
                   Rotation of the coordinate systems with regard to eye pupil (in air): 
                 
                 
                 
                 
                 
               
                   Surface 
                   Alpha [degree] 
                   Beta [degree] 
                   Gamma [degree] 
                 
                     
                 
                 
               
                   
                     
                       
                         
                           z 
                           = 
                           
                             
                               
                                 
                                   
                                     ρ 
                                     x 
                                   
                                   ⁢ 
                                   
                                     x 
                                     2 
                                   
                                 
                                 + 
                                 
                                   
                                     ρ 
                                     y 
                                   
                                   ⁢ 
                                   
                                     y 
                                     2 
                                   
                                 
                               
                               
                                 1 
                                 + 
                                 
                                   
                                     1 
                                     - 
                                     
                                       
                                         ( 
                                         
                                           1 
                                           + 
                                           
                                             κ 
                                             x 
                                           
                                         
                                         ) 
                                       
                                       ⁢ 
                                       
                                         ρ 
                                         x 
                                         2 
                                       
                                       ⁢ 
                                       
                                         x 
                                         2 
                                       
                                     
                                     - 
                                     
                                       
                                         ( 
                                         
                                           1 
                                           + 
                                           
                                             κ 
                                             y 
                                           
                                         
                                         ) 
                                       
                                       ⁢ 
                                       
                                         ρ 
                                         y 
                                         2 
                                       
                                       ⁢ 
                                       
                                         y 
                                         2 
                                       
                                     
                                   
                                 
                               
                             
                             + 
                             
                               
                                 c 
                                 1 
                               
                               · 
                               x 
                             
                             + 
                             
                               
                                 c 
                                 2 
                               
                               · 
                               y 
                             
                             + 
                             
                               
                                 c 
                                 3 
                               
                               · 
                               
                                 x 
                                 2 
                               
                             
                             + 
                             
                               
                                 c 
                                 4 
                               
                               · 
                               x 
                               · 
                               y 
                             
                             + 
                             
                               
                                 c 
                                 5 
                               
                               · 
                               
                                 y 
                                 2 
                               
                             
                             + 
                             
                               
                                 c 
                                 6 
                               
                               · 
                               
                                 x 
                                 3 
                               
                             
                             + 
                             
                               
                                 c 
                                 7 
                               
                               · 
                               
                                 x 
                                 2 
                               
                               · 
                               y 
                             
                             + 
                             
                               
                                 c 
                                 8 
                               
                               · 
                               x 
                               · 
                               
                                 y 
                                 2 
                               
                             
                             + 
                             
                               
                                 c 
                                 9 
                               
                               · 
                               
                                 y 
                                 3 
                               
                             
                             + 
                             
                               
                                 c 
                                 10 
                               
                               · 
                               
                                 x 
                                 4 
                               
                             
                             + 
                             
                               
                                 c 
                                 11 
                               
                               · 
                               
                                 x 
                                 3 
                               
                               · 
                               y 
                             
                             + 
                             … 
                           
                         
                       
                     
                   
                 
                     
                 
                 
                 
                 
                 
               
                   2 v   
                   −11.950087 
                   −1.103246 
                   0.000000 
                 
                   2 h   
                   −7.561127 
                   12.292050 
                   0.000000 
                 
                   3 v   
                   −10.640443 
                   13.236519 
                   0.000000 
                 
                   3 h   
                   −9.340704 
                   1.838853 
                   0.000000 
                 
                   P = IA 
                   −3.992984 
                   −0.936974 
                   0.033760 
                 
                     
                 
                 
               
                   Description of the surface shapes of surfaces 2 v , 2 h , 3 h : 
                 
                   Surface 2 v : 
                 
                 
                 
                 
                 
               
                         K x  = 
                     0.000000000E+00 
                         K y  = 
                     0.000000000E+00 
                 
                   1/ρ x  = 
                   262.029626 
                   1/ρ y  = 
                   460.241355 
                 
                   c 1-3   
                   −7.816294472E−02 
                   −6.769775549E−04 
                     3.512000519E−03 
                 
                   c 4-6   
                   −1.933397623E−04 
                     3.323904852E−03 
                   −7.073432239E−05 
                 
                   c 7-9   
                   −5.175690025E−05 
                   −4.246655458E−05 
                   −5.977805266E−05 
                 
                   c 10-12   
                     1.661105408E−07 
                     2.387423681E−07 
                   −2.140049981E−07 
                 
                   c 13-15   
                   −2.624390743E−07 
                   −1.155402838E−06 
                     5.256645482E−09 
                 
                   c 16-18   
                     1.507180023E−08 
                     2.590824277E−08 
                   −9.019395714E−09 
                 
                   c 19-21   
                     8.408280778E−09 
                   −9.933576982E−09 
                     1.024137839E−10 
                 
                   c 22-24   
                     8.699296183E−11 
                     3.577829179E−10 
                   −2.664015377E−10 
                 
                   c 25-27   
                   −1.672652883E−10 
                     1.189377902E−10 
                     5.791978628E−11 
                 
                 
               
                   Surface 2 h : 
                 
                 
                 
                 
                 
               
                         K x  = 
                     0.000000000E+00 
                         K y  = 
                     0.000000000E+00 
                 
                   1/ρ x  = 
                   −100.942861 
                   1/ρ y  = 
                   −98.378083 
                 
                   c 1-3   
                   −9.161670241E−03 
                   −8.788093654E−02 
                     1.408964249E−03 
                 
                   c 4-6   
                     2.635200694E−04 
                   −8.975033724E−04 
                   −7.969861973E−06 
                 
                   c 7-9   
                     1.533812116E−05 
                     6.184418241E−05 
                   −6.612799354E−06 
                 
                   c 10-12   
                     1.204845982E−06 
                   −1.699698381E−07 
                     7.087299744E−07 
                 
                   c 13-15   
                   −4.163252796E−07 
                     1.166367085E−07 
                   −1.912225085E−08 
                 
                   c 16-18   
                     1.977850174E−09 
                   −8.419477563E−09 
                   −1.643242739E−08 
                 
                   c 19-21   
                   −1.525863528E−08 
                   −9.707951413E−09 
                     2.251616020E−10 
                 
                   c 22-24   
                     1.032924328E−10 
                     2.605738887E−10 
                     6.669331923E−11 
                 
                   c 25-27   
                   −7.352489548E−13 
                     9.986952257E−12 
                     1.275821826E−10 
                 
                 
               
                   Surface 3 h : 
                 
                 
                 
                 
                 
               
                         K x  = 
                     0.000000000E+00 
                         K y  = 
                     0.000000000E+00 
                 
                   1/ρ x  = 
                   −626.781667 
                   1/ρ y  = 
                   −553.072593 
                 
                   c1 -3   
                      9.589635860−04 
                   −2.793454122E−02 
                     2.543402884E−03 
                 
                   c 4-6   
                     5.603206875E−04 
                     5.231844352E−03 
                      −749139943E−05 
                 
                   c 7-9   
                   −1.274965695E−04 
                   −1.490895306E−04 
                   −8.223942953E−05 
                 
                   c 10-12   
                   −7.767776527E−08 
                     8.031767435E−07 
                     2.666657937E−06 
                 
                   c 13-15   
                     1.243910582E−07 
                     4.703770967E−07 
                     2.285599114E−08 
                 
                   c 16-18   
                     2.782537511E−08 
                     1.728369546E−08 
                   −4.077973829E−08 
                 
                   c 19-21   
                     2.806803694E−08 
                   −1.355578289E−08 
                   −3.765213129E−10 
                 
                   c 22-24   
                   −1.470696533E−10 
                   −1.629135913E−09 
                     1.752264004E−10 
                 
                   c 25-27   
                     3.089575802E−10 
                     1.268262112E−09 
                       −3.185215617E−10. 
                 
                     
                 
             
                
               
               
                
                
                
                
                
                
                
                
                
                
                
               
            
             
                
                
               
            
             
                
                
                
                
                
                
                
                
               
            
             
                
               
            
             
                
                
               
            
             
                
                
               
            
             
                
                
                
                
                
                
               
            
             
                
                
               
            
             
                
                
                
                
                
                
                
                
                
                
                
               
            
             
                
               
            
             
                
                
                
                
                
                
                
                
                
                
                
               
            
             
                
               
            
             
                
                
                
                
                
                
                
                
                
                
                
                
               
            
           
         
       
     
     
       7. Non-reflective imaging optics, according to  claim 1 , wherein three refractive optical elements are utilized, each of which is designed approximately wedge-shaped and tilted at a random azimuth angle of at least 5° and/or are positioned off-center in the beam path in order to block out single reflections of the illumination, occurring at the optical system surfaces, for the observation. 
     
     
       8. Non-reflective imaging optics, according to  claim 7 , characterized in that at least one of the optical system surfaces of the three refractive optical elements, designed approximately wedge-shaped and tilted in the beam path, is designed as a free-form surface, while the remaining optical system surfaces of the three refractive optical elements, designed approximately wedge-shaped and tilted in the beam path, are aspherical, toric, or spherical in form.

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